A Given: Quadrilateral ABCD is a parallelogram. Prove: DB bisects AC; AC bisects DB Proof: Statements Reasons 1. Quadrilateral ABCD is a parallelogram. 1. Given 2. AB || CD; AD || CB 2. Definition of a parallelogram 3. 3. Alternate interior angles theorem 4. DA BC 4. Opposite sides of a parallelogram are congruent. 5. ADAE = ABCE 5.
A Given: Quadrilateral ABCD is a parallelogram. Prove: DB bisects AC; AC bisects DB Proof: Statements Reasons 1. Quadrilateral ABCD is a parallelogram. 1. Given 2. AB || CD; AD || CB 2. Definition of a parallelogram 3. 3. Alternate interior angles theorem 4. DA BC 4. Opposite sides of a parallelogram are congruent. 5. ADAE = ABCE 5.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Question
![3. Diagonals of a parallelogram bisect each other.
D.
C.
1
Given: Quadrilateral ABCD is a parallelogram.
Prove: DB bisects AC; AC bisects DB
Proof:
Statements
Reasons
1. Quadrilateral ABCD is a
parallelogram.
1. Given
2. Definition of a parallelogram
2. AB || CD; AD || CB
3.
3. Alternate interior angles theorem
4. DA= BC
4. Opposite sides of a parallelogram are congruent.
5. ADAE= ABCE
5.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faa4c4f4c-0089-4126-b530-348bd3fa0860%2F4aeea3fb-364a-409d-ae13-4b06d1db6042%2Fvmvlxk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. Diagonals of a parallelogram bisect each other.
D.
C.
1
Given: Quadrilateral ABCD is a parallelogram.
Prove: DB bisects AC; AC bisects DB
Proof:
Statements
Reasons
1. Quadrilateral ABCD is a
parallelogram.
1. Given
2. Definition of a parallelogram
2. AB || CD; AD || CB
3.
3. Alternate interior angles theorem
4. DA= BC
4. Opposite sides of a parallelogram are congruent.
5. ADAE= ABCE
5.
![6.
6. СРСТС
7. DB bisects AC;
AC bisects DB.
7.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faa4c4f4c-0089-4126-b530-348bd3fa0860%2F4aeea3fb-364a-409d-ae13-4b06d1db6042%2Fzokb7od_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6.
6. СРСТС
7. DB bisects AC;
AC bisects DB.
7.
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